To solve this, it is very simple.
Start a new Airline. Call it the "Jihad express".
No security required, fly at your own risk.
No security lines. Allow people to go on with bombs, basball bats, guns, and rusty knives for ritual beheadings of infidels. (Beheadings and mutilations of infidels would be considerd routine, like taking a dump in the rest room.)
If plane veers of course by one mile, it has remote control detonator to blow it up. Instead of calling it a "Black Box", we call it the "Jihad box".
This will allow all muslims to travel safely, and avoid the muslim profiling issue. If any Infidel feels brave or needs to skip secuity, its his choice. But at least he can carry a basball bat or gun and have a fighting chance to avoid being beheaded.